What is the Least Common Multiple of 94666 and 94679?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 94666 and 94679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94666 and 94679, than apply into the LCM equation.

GCF(94666,94679) = 13
LCM(94666,94679) = ( 94666 × 94679) / 13
LCM(94666,94679) = 8962882214 / 13
LCM(94666,94679) = 689452478

Least Common Multiple (LCM) of 94666 and 94679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94666 and 94679. First we will calculate the prime factors of 94666 and 94679.

Prime Factorization of 94666

Prime Factorization of 94679

Now multiplying the highest exponent prime factors to calculate the LCM of 94666 and 94679.

LCM(94666,94679) = 2¹ × 11¹ × 13¹ × 331¹ × 7283¹
LCM(94666,94679) = 689452478